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234149832 = 23337222123
BaseRepresentation
bin11011111010011…
…01011111001000
3121022121001012000
431331031133020
5434420243312
635122351000
75542145400
oct1575153710
9538531160
10234149832
11110198264
12664bb460
13396830c7
1423151800
1515852adc
hexdf4d7c8

234149832 has 96 divisors (see below), whose sum is σ = 756640800. Its totient is φ = 66896928.

The previous prime is 234149827. The next prime is 234149837. The reversal of 234149832 is 238941432.

It is an interprime number because it is at equal distance from previous prime (234149827) and next prime (234149837).

It is a super-2 number, since 2×2341498322 = 109652287651256448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (234149837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478 + ... + 21645.

It is an arithmetic number, because the mean of its divisors is an integer number (7881675).

Almost surely, 2234149832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234149832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378320400).

234149832 is an abundant number, since it is smaller than the sum of its proper divisors (522490968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234149832 is a wasteful number, since it uses less digits than its factorization.

234149832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22152 (or 22135 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 234149832 is about 15301.9551691932. The cubic root of 234149832 is about 616.3555110385.

The spelling of 234149832 in words is "two hundred thirty-four million, one hundred forty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 22123 44246 66369 88492 132738 154861 176984 199107 265476 309722 398214 464583 530952 597321 619444 796428 929166 1084027 1194642 1238888 1393749 1592856 1858332 2168054 2389284 2787498 3252081 3716664 4181247 4336108 4778568 5574996 6504162 8362494 8672216 9756243 11149992 13008324 16724988 19512486 26016648 29268729 33449976 39024972 58537458 78049944 117074916 234149832